João S M, Viana Parente Lopes J M
Centro de Física das Universidades do Minho e Porto and Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, 4169-007 Porto, Portugal.
J Phys Condens Matter. 2020 Mar 20;32(12):125901. doi: 10.1088/1361-648X/ab59ec. Epub 2019 Nov 21.
In this paper, we developed a basis-independent perturbative method for calculating the non-linear optical response of arbitrary non-interacting tight-binding models. Our method is based on the non-equilibrium Keldysh formalism and allows an efficient numerical implementation within the framework of the kernel polynomial method for systems which are not required to be translation-invariant. Some proof-of-concept results of the second-order optical conductivity are presented for the special case of gapped graphene with vacancies and an on-site Anderson disordered potential.
在本文中，我们开发了一种与基矢无关的微扰方法，用于计算任意非相互作用紧束缚模型的非线性光学响应。我们的方法基于非平衡Keldysh形式理论，并且在核多项式方法的框架内允许对不需要平移不变性的系统进行高效的数值实现。针对有空位和在位安德森无序势的带隙石墨烯这一特殊情况，给出了二阶光导率的一些概念验证结果。
